Simplify the given expression. Assume that all variables represent positive numbers. -1/3 (xy3) - 1/3 1/3 (8x -3,9) (Simplify your answer. Use integers or fractions for any numbers in the expression. Type your answer using exponential notation. Use positive exponents only.)

Q: Simplify the expression, and eliminate any negative exponent(s).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Simplify the radical expression by changing the expression to exponential form. Write the answer in…

A: Solution: Consider the given expression is x =a4 where a is the positive real number Apply radical…

Q: Simplify the exponential expressions using the properties for exponents. Make sure all the exponents…

A: Simplification of Exponential

Q: Simplify exponential expression. 24x3y5/32x7y-9

A: Given ,24 x3 y532 x7 y-9

Q: Simplify the expressions and write answers with positive exponents only. Negative Exponents are not…

A: Given:

Q: Rewrite the expression without using a negative exponent. 2n 4 Simplify your answer as much as…

A:

Q: Simplify the expression so that only positive exponents remain. (x*/5,3

A:

Q: Simplify each expression. Express your answer so that only positive exponents occur. Assume that the…

A: The given expression is (x3y6)13

Q: Write the expression in rectangular form x+yi and in exponential form re^iθ.   2cos7π/18+isin7π/18^3

A: Given: The expression is 2(cos 7π/18+i sin 7π/18)3.

Q: Simplify so that each variable is written only once and only positive exponents are used. (2a…

A:

Q: Simplify the expression so that only positive exponents remain. y-3/2. y-1

A:

Q: Simplify  exponential expression.Assume that variables represent nonzero real numbers.…

A:

Q: Simplify the exponential expression 35x2y5 35x-y 42x4y 4 2.5 35х у 42x4 у (Simplify your answer. Use…

A: Simplify the exponential expression as follows.

Q: Use properties of exponents to simplify the expression. Express the answer in exponential form with…

A: Given expression is x6x3−5. We have to simplify the expression x6x3−5. Use property aman=am−n…

Q: Simplify  exponential expression.Assume that variables represent nonzero real numbers.…

A: We subtract the exponents for division

Q: Simplify exponential expression. (-9x3y)(-2x6y4)

A: The given exponential expression is -9x3y-2x6y4 Remove the parentheses as : (-a)=-a, -(-a)=a…

Q: Simplify exponential expression. 10x4y9/30x12y-3

A: the given expression is: 10x4y930x12y-3

Q: Simplify exponential expression. (5x3/y)-2

A: To simplify given exponential expression 5x3y-2 From law of exponential we have ab-n=ban Simplifying…

Q: Express the number without an exponent. -3 5.12x 10 5.12x 10-3 | (Simplify your answer. Type an…

A: Given expression: 5.12×10-3

Q: Simplify each expression. Express your answer so that only positive exponents occur. Assume that the…

A: Given that. the expression is (x4y8)3/4 To simplify the given expression Assume that the variables…

Q: Simplify the following and express the answer using no negative exponents. (a) (3 x-6)2

A: The given expression which is needed to simplify is:

Q: Simplify the expression. Assume that all variables are positive when they appear. 5√x10y5

A: 5√x10y5

Q: Simplify and leave all exponents positive (x-5)(x*)~² (25x®y®z*)Z eg - eg - (x4)-2 (27x³3y6z®)3

A: To simplify the exponents.

Q: Simplify the exponential expressions using the properties for exponents.  Make sure all the…

A:

Q: Use the properties of exponents to simplify. Your answer should only contain positive exponents.…

A: Given: -

Q: x² e) x² - 4 x + 1 x +2

A:

Q: Simplify the following expression. Assume that the variables represent positive real numbers. 5/3…

A:

Q: Use the Laws of Exponents to rewrite and simplify the following expression. Be sure to eliminate any…

A:

Q: Simplify. Use exponential​ notation, but use only positive exponents in your answer   d^3/8/d^-3/8

A:

Q: Use the Law of Exponents to rewrite and simplify the expression 5-4 а. 25-2 x5z-1 sz-1(x²z+1)* b. 4…

A:

Q: 18.(-2x +5y)², 19. (-4x -3y)? 20. (x* +)(x* - x2.

A: Since you have asked multiple question, we will solve the first question for you . If you want any…

Q: Simplify each expression. Express your answer so that only positive exponents occur. Assume that the…

A: Consider the given expression. x34x13x-12 Now, simplify the expression.…

Q: Rationalize the Denominator, and simplify. Do not use a calculator or round to a decimal. Write the…

A: Rationalize the Denominator, and simplify. Do not use a calculator or round to a decimal. Write the…

Q: If the expression is in exponential form, write it in radical form. If it is in radical form, write…

A: To write in radical form: (5r+3t)47 Solution: Given expression is: (5r+3t)47 On simplifying further…

Q: Use the properties of exponents to simplify. Your answer should contain only positive exponents.…

A: Plug y^0=1 and simplify

Q: Simplify the following. Final answer should not have negative exponents. (x³y-2)-4 4x-2

A:

Q: Simplify the expression. (It is not necessary to expand the denominator.) (x2 + 1)2(-3) – 2(x2 +…

A: We have to solve the expression.

Q: Simplify the expression

A: Given that, the expression  1x3 + y3 We need to simplify this expression

Q: Simplify the exponential expression. Express your answer with positive exponents: (3x²y)* 12xy3

A: Given: 3x2y312xy3 We know that aman=am-n…

Q: Use the properties of exponents to simplify. Your answer should only contain positive exponents.…

A: The given exponential expression is

Q: Simplify each expression. Express your answer so that only positive exponents occur. Assume that the…

A: To Simplify the expression: x2/3x1/2x-1/4

Q: Write the given expression as a single quotient in which only positive exponents and/or radicals…

A: Using cross multiplication on the numerator to simplify the numerator

Q: Simplify the expression so that only positive exponents remain.   x1/4 x−3/4

A:

Q: Write the expression in rectangular form, x + y i, and in exponential form, reo. (1 - i)5 ..... The…

A: Explained below

Q: Simplify  exponential expression.Assume that variables represent nonzero real numbers.…

A: We first write them using positive exponents

Q: write it in exponential form

A: Given, k25

Q: Simplify the exponential expressions using the properties for exponents.  Make sure all the…

A:

Q: Write the expression in rectangular form, x + y i, and in exponential form, re (-1+ i)7 The…

A: The given complex number is  z = (-1 + i)7 To write complex number in form of z = x + iy

Q: write the expression as a sum/or difference of logs.  express powers as factors…

A:

Q: Simplify the expression. (It is not necessary to expand the denominator.) 5x + 7\2 (7x + 3)(5) –…

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.